## 1- 11 Dilations

**Objectives**: to graph dilations and to determine the scale factor of a dilation.

**Standards**: 8.G.3, 8.G.4

A

The ratio of a length in the image to the corresponding length in the original figure is called the

**is a type of transformation that enlarges or reduces a figure. The figure and image will be**__dilation__*similar*.The ratio of a length in the image to the corresponding length in the original figure is called the

**. In other words, what you multiply the orginal figure by to get the image is the scale factor.**__scale factor__The image (blue) was created using a scale factor of 2 from the original figure (pink). Notice each of the ordered pairs of the original was multiplied by 2 in order to create the image.

This is an example of an

This is an example of an

**. (It got bigger.) All enlargements have a scale factor bigger than 1.**__enlargement__The image (pink) was created using a scale factor of 1/3 from the original figure (green). Each ordered pair of the image is 1/3 the size (you can think of it as being divided by three, but that is the same as multiplying by 1/3).

This is an example of a

This is an example of a

**. (It got smaller.) All reductions have a scale factor less than 1 but great than 0.**__reduction__